4 research outputs found
Buckling and free vibration analysis of laminated composite plates using an efficient and simple higher order shear deformation theory
In this paper, the buckling and free vibration analysis of laminated composite plates
using an efficient and simple higher order shear deformation theory are examined by using
a refined shear deformation theory. This theory is based on the assumption that the
transverse displacements consist of bending and shear components where the bending
components do not contribute to shear forces, and likewise, the shear components do not
contribute to bending moments. The most interesting feature of this theory is that it
allows for parabolic distributions of transverse shear stresses across the plate thickness
and satisfies the conditions of zero shear stresses at the top and bottom surfaces of the
plate without using shear correction factors. The number of independent unknowns in the
present theory is four, as against five in other shear deformation theories. In this
analysis, the equations of motion for simply supported thick laminated rectangular plates
are derived and obtained through the use of Hamilton’s principle. The closed-form
solutions of anti-symmetric cross-ply and angle- ply laminates are obtained using Navier
solution. Numerical results of the present study are compared with three-dimensional
elasticity solutions and results of the first-order and the other higher-order theories
reported in the literature. It can be concluded that the proposed theory is accurate and
simple in solving the buckling and free vibration behaviors of laminated composite plates